Growth conditions for a family of ideals containing regular sequences

被引：5
作者：
Cooper, Susan Marie [1 ]
机构：
[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 01期
关键词：
D O I：
10.1016/j.jpaa.2007.05.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It has been conjectured by Eisenbud-Green-Harris that lex-plus-powers ideals exhibit extremal conditions among all homogeneous ideals containing a regular sequence of forms in fixed degrees. In the same spirit, we consider a family of homogeneous ideals in k[x, y, z ] which contain a regular sequence of forms F, G is an element of k[x, y] and compare the growth of these ideals with special monomial ideals sharing similar properties. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：122 / 131
页数：10
相关论文
共 16 条
  • [1] GEOMETRIC CONSEQUENCES OF EXTREMAL BEHAVIOR IN A THEOREM OF MACAULAY
    BIGATTI, A
    GERAMITA, AV
    MIGLIORE, JC
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 346 (01) : 203 - 235
  • [2] CAVIGLIA G, 2006, SOME CASES EISENBUD
  • [3] Clements G.F., 1969, J COMB THEORY, V7, P230, DOI 10.1016/S0021-9800(69)80016-5
  • [4] COOPER S, 2005, HIBERT FUNCTIONS SUB
  • [5] COOPER SM, 2003, UNPUB ALBEBRAIC INTE
  • [6] DAVIS ED, 1984, B SCI MATH, V108, P143
  • [7] Cayley-Bacharach theorems and conjectures
    Eisenbud, D
    Green, M
    Harris, J
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 33 (03) : 295 - 324
  • [8] EISENBUD D, 1993, ASTERISQUE, P187
  • [9] EISENBUD D, 1995, COMMUTATIVE ALGEBRAS
  • [10] FRANCISCO C, 2005, LEX PLUS POWERS IDEA
12